Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304o |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
235843754291712 = 29 · 312 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25264371,48877709834] |
[a1,a2,a3,a4,a6] |
Generators |
[3871186:808108:1331] |
Generators of the group modulo torsion |
j |
4778061038325269847944/631868769 |
j-invariant |
L |
3.6460649567618 |
L(r)(E,1)/r! |
Ω |
0.31781745339587 |
Real period |
R |
5.7360993202279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304s4 76608dw4 12768m2 |
Quadratic twists by: -4 8 -3 |